Astigmatic lenses, effect of combined 174
Astigmatism of a defective eye, mode of measuring 172
Attractions, propositions respecting 105 124
Bessel's functions, calculation of, for large values of the variable 329
Brewster's apparent new polarity of light, explanation of 24
Britannia Bridge, deflection liable to be produced in, by a travelling load 219
Challis, Prof., explanation of difficulties in the theory of sound discovered by 51 82
Clairaut's theorem 112 142
Decomposition, in a particular way, of three functions representing components of displacement, &c. 256
Differential equation, discussion of a, relating to deflection produced by a travelling load 178
Diffraction of polarized light, experiments on 290
Diffraction, dynamical theory of 243
Disturbance in an isotropic medium, due to a force continually acting 276
Disturbances, small, of a dynamical system due to initial (1) displacements, (2) velocities, deduced from each other 261
Earth's original fluidity, review of geodetic and gravitational evidence in favour of 120
Elastic solid, propagation of an arbitrary disturbance in an 257
Ether, constitution of the luminiferous 8
eye see "Astigmatism"
Fresnel's formulas for the intensities of reflected and refracted light, experimental evidence of the correctness of 97
Gravity, variation of, at the surface of the earth 131
Haidinger's brushes 362
Helmholtz's propositions respecting vortex motion 47
Holtzmann's experiments on diffraction of polarized light 327
Hydrodynamics, notes on 1 36 221
Instability of motion of sphere in a perfect fluid 8
Interference bands seen in the spectrum, under peculiar conditions, explained 14
Interference fringes, fictitious displacement of 361
| Irregularities of earth's surface, effect of, on local gravity 149
Lorenz's researches on diffraction of polarized light 328
Moon, effect of earth's oblateness on, independent of hypothesis of earth's original fluidity 118 132 142
Newton's rings, explanation of the perfect blackness of the central spot of 89
Newton's rings, formation of the central spot of, beyond the critical angle 56
Newton's rings, mode of disappearance of, in passing the critical angle 358
Newton's rings, sudden disappearance of central spot of, on increasing the angle of internal incidence 80
Numerical calculation of a class of definite integrals and infinite series 329
Pendulum results applicable to the determination of the earth's figure, irrespective of hypotheses respecting internal distribution of matter 140
Polarized light, direction of vibrations in, determined by experiments on diffraction 317
Precession and nutation, moment of force causing, is independent of hypotheses respecting distribution of matter in the earth 118 132 142
Railway Bridges, differential equation relating to the breaking of, discussed 178
Rarefaction a necessary accompaniment of condensation in a sound-wave propagated from a centre 88
Reflexion, metallic 360
Refraction of light beyond the critical angle 57
Reversion, application of the principle of, to the demonstration of two laws relating to the reflection of light 90
Ring, single bright, surrounding a dark centre, in connexion with Newton's rings 75
Secondary wave of light, law of disturbance in, determined 280
Semi-convergent series, establishment and application of 329
Sound, on a difficulty in the theory of 51
Sound, on some points in the received theory of 82
Sound-wave, alteration of the type of, when the motion is not small 52
Sphere, steady motion of, in a viscous fluid 10
Stanley, Capt., comparison of observations made by, on waves in open sea, with theory 239
Vortex motion, Helmholtz's propositions respecting, deduced from Cauchy's integrals 47
Wave length, determination of, corresponding with any point of the spectrum 176
Waves 221
Willis, Prof., discussion of an equation relating to experiments by 178
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